factors of [tex]f(x) = 18x^2-9x-5[/tex] are [tex]3x+1[/tex] and [tex]6x-5[/tex] .
Step-by-step explanation:
Here we have , to identify all factors of this expression . let's find out :
Expression : [tex]f(x) = 18x^2-9x-5[/tex]
⇒ [tex]f(x) = 18x^2-9x-5[/tex]
Now , -9x can be written as :
⇒ [tex]-9x=-15x+6x[/tex]
Putting this value
⇒ [tex]f(x) = 18x^2-15x+6x-5[/tex]
Taking out common terms we get
⇒ [tex]f(x) = 3x(6x-5)+6x-5[/tex]
⇒ [tex]f(x) = 3x(6x-5)+1(6x-5)[/tex]
⇒ [tex]f(x) = (3x+1)(6x-5)[/tex]
Therefore , factors of [tex]f(x) = 18x^2-9x-5[/tex] are [tex]3x+1[/tex] and [tex]6x-5[/tex] .
